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Can 2 raise to the power something be equal to 0? If yes then at what value?

Note by Prabhav Bansal 2 years, 4 months ago

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Can we say 0.0000000000000000000000000000000000000000000001 equal to zero.

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This would only approach 1. Any negative power would be less than 1.

So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number.

But still if we say that 2^-100000000000 it is zero.

@Prabhav Bansal – No, it's still not absolute zero.

@Vishnu Bhagyanath – So, finally we conclude that anything raise to the power any integer is not zero.

@Prabhav Bansal – 0 raised to the power of any positive real is 0.

You need to qualify what "anything" refers to.

No, that's the law of logarithm.

No.

No. Because 0 is not a number.

Because 0 is not a number.

Are you sure? xP

I'm guessing you mean infinity?

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`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

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`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestCan we say 0.0000000000000000000000000000000000000000000001 equal to zero.

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This would only approach 1. Any negative power would be less than 1.

So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number.

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But still if we say that 2^-100000000000 it is zero.

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You need to qualify what "anything" refers to.

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No, that's the law of logarithm.Log in to reply

No.

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No. Because 0 is not a number.

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Are you sure? xP

I'm guessing you mean infinity?

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